[PDF] Top 20 Application of the Hybrid Differential Transform Method to the Nonlinear Equations

... the hybrid differential transform method and the absolute errors that results from compar- ing the approximate solutions and the Maple 11 or ADM ...The Hybrid Method results ... See full document

... of nonlinear optimal control problems ...differential transform method (DTM) which is one of the approximate ...of nonlinear equations without the need of a linearization ... See full document

... of nonlinear equations plays a important role not only in theoretic research but in ...scattering method [1], Hirotas bilinear transformation [2,3], the tanh method [4], sine-cosine ... See full document

... following hybrid fixed point theorems, which are the main tools used in obtaining the results in this ...a nonlinear equation beginning with a lower or an upper solution of the equation as its initial ...of ... See full document

... decomposition method (ADM), M. Ghoreishi solved some types of nonlinear wave-like equation [6], ...perturbation transform method ( HPTM) these types of equation tool [7], furthermore, ... See full document

... decomposition method for solving the nonlinear Volterra-Fredholm integro differential equations is illustrated in the four examples in this section which shows the effectiveness and ... See full document

... perturbation transform method for nonlinear fractional partial differential equations of the Caputo-Fabrizio fractional ...this method is demonstrated by finding the exact solutions of ... See full document

... and nonlinear physical and engineering ...the application of the homotopy perturbation method (HPM) to obtain analytical approximate solutions of the nonlinear differential ... See full document

... of equations, especially non-linear ...perturbation method (HPM). This method was established in 1998 by ...and nonlinear differential equations, its application was also ... See full document

... iteration method (VIM) developed in 1999 by He in [9-18] will be used to study the linear wave equation, nonlinear wave equation, and wave-like equation in bounded and unbounded ...The method has ... See full document

... k j x t  M j x N j t , j  1, 2 . Five different problems are solved to make clear the application of the DTM on such class of integro-differential equations. We introduce theorems in general forms ... See full document

... ential transform method, fractional power series expansions, and conformable fractional ...new method for solving a nonlinear con- formable fractional partial differential equation and a system ... See full document

... series) method, as well as other common algorithms, to numerical solutions of first-order differential equations are straightforward and will not be discussed ...second-order differential ... See full document

... Kudryashov method for solving various types of nonlinear fractional partial differential ...an application, the time-space fractional Korteweg-de Vries-Burger (KdV-Burger) equation is solved ... See full document

... The hybrid Laplace transformation and finite difference were developed to obtain the solution of two dimensional axisymmetric coupled thermo-elastic ...element method. The basic equations were the ... See full document

... The differential transform method (DTM) is a semi analytical-numerical technique depending on Taylor series for solving integral-differential equations ...The method was first ... See full document

... Generalized Differential Transformation Method (GDTM) is used to solve volterra’s model for population growth of a species within a closed ...a nonlinear integro-differential ...prescribed ... See full document

... ordinary differential equations called Differential transformation method (DTM) is addressed and used to approximate solutions for a well-known non-linear ...The differential ... See full document

... the method of successive approximations and used to approximate the solution of the nonlinear Hammerstein fuzzy integral equation, and then they proposed the notion of numerical stability of the algorithm ... See full document

... the application of differential transform method to the proposed model and to verify the validity of the method in solving the model equations using computer in- built Maple 18 ... See full document